A regulation-size women’s basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth. Enter your answer in the box.

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Answer:

SA = 1,033.2 in²

Step-by-step explanation:

The formula for surface area of a sphere is

SA = 4π(r²)       where r is the radius, and π is the constant pi

The radius is given as 9.07 and they say to use 3.14 for pi, so we substitute...

SA = 4(3.14)(9.07)

    SA = 1,033.247144

          SA = 1,033.2      rounded to the nearest tenth

The surface area of the basketball is 258.3 square inches.

What is surface area?

It is defined as the area of a three-dimensional body consisting of its all-faces area or in other words the total area occupied by the three-dimensional body.

We have a regulation-size women’s basketball has a diameter of 9.07 inches.

d = 9.07 inches

We know the surface area of the sphere:

[tex]\rm S = 4\pi R^2[/tex]

[tex]\rm S = 4\pi \times (4.535)^2[/tex]    ( R = d/2 ⇒ 9.07/2 ⇒ 4.535 inches)

[tex]\rm S = 4\times 3.14\times 20.566[/tex]

S = 258.308 square inches ≈ 258.3 square inches

Thus, the surface area of the basketball is 258.3 square inches.

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